Earn some mad points~!
multiply the polynomials (a^2 + 3a – 7) and (a + 4). simplify the answer. show your work

Simplifying (3a2 + -2a + 4) + -1(a2 + -3a + 7) = 0 Reorder the terms: (4 + -2a + 3a2) + -1(a2 + -3a + 7) = 0 Remove parenthesis around (4 + -2a + 3a2) 4 + -2a + 3a2 + -1(a2 + -3a + 7) = 0 Reorder the terms: 4 + -2a + 3a2 + -1(7 + -3a + a2) = 0 4 + -2a + 3a2 + (7 * -1 + -3a * -1 + a2 * -1) = 0 4 + -2a + 3a2 + (-7 + 3a + -1a2) = 0 Reorder the terms: 4 + -7 + -2a + 3a + 3a2 + -1a2 = 0 Combine like terms: 4 + -7 = -3 -3 + -2a + 3a + 3a2 + -1a2 = 0 Combine like terms: -2a + 3a = 1a -3 + 1a + 3a2 + -1a2 = 0 Combine like terms: 3a2 + -1a2 = 2a2 -3 + 1a + 2a2 = 0 Solving -3 + 1a + 2a2 = 0 Solving for variable 'a'. Factor a trinomial. (-3 + -2a)(1 + -1a) = 0 Subproblem 1Set the factor '(-3 + -2a)' equal to zero and attempt to solve: Simplifying -3 + -2a = 0 Solving -3 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2a = 0 + 3 -2a = 0 + 3 Combine like terms: 0 + 3 = 3 -2a = 3 Divide each side by '-2'. a = -1.5 Simplifying a = -1.5 Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solutiona = {-1.5, 1}

All points to the left of zero on a horizontal number line are negative. a number line is a picture of a graduated straight line that serves as abstraction for real numbers. this number line can be extended to the left to represent numbers which are smaller than 0. such numbers are called negative numbersmark me brainliest